The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of 2 inches.An unshaded square inside of a large blue square.

What is the probability that a point chosen at random is in the blue region?
StartFraction 1 over 16 EndFraction
StartFraction 1 over 15 EndFraction
StartFraction 15 over 17 EndFraction
StartFraction 15 over 16 EndFraction

Answers

Answer 1

Answer:

Answer:

The probability that a point chosen at random is in the blue region is 15/16.

Step-by-step explanation:

In order to find the probability that a point chosen at random will lie in the blue region, we first have to find the area of the blue region.

The area $A$ of the large square is the product of its dimensions:

$A=(8in)^2=64in^2$

and for the smaller square area $a$ is:

$a=(2in)^2=4in^2$

Therefore the area of the blue region is the area of the larger square minus the area of the smaller square.

$A_(blue)=A-a=64in^2-4in^2=60in^2$

Therefore the probability that the point chosen at random is on the blue region is

$(A_(blue))/(A) =(60)/(64) =(15)/(16)$

The probability is $15/16$ .

Answer 2

Answer:

letter b Step-by-step explanation:

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A total of 510 were sold for the school play. they were either adult tickets or student tickets. there were 60 more student tickets sold than adult tickets .How many adult tickets were sold?

Answers

I think it would be 450 because 510 - 60 = 450

The cross section of a metal ingot is a trapezoid. The cross section has an area of 39 square centimeters. The top base of the cross section is 12 centimeters. The length of the bottom base is 2 centimeters greater than the top base. How tall is the metal ingot?

Answers

metal ingot is 5cm tall

A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.
What is the area of the base of the pedestal?
6.7 square feet
22.5 square feet
45 square feet
3,645 square feet

Answers

Answer:

45 square feet

Step-by-step explanation:

we know that

The volume of the pedestal (rectangular prism) is given by the formula

$V=Bh$

where

B is the area of the rectangular base of pedestal

we have

$V=405\ ft^3\nh=9\ ft$

substitute the given values in the formula and solve for B

$405=B(9)$

$B=405/9\nB=45\ ft^2$

Answer:

Step-by-step explanation:

Without calculating, is the equation (1.8 x 3) x 2.1 = 3 x (1.8 x 2.1) true or false? Explain your reasoning

Answers

The expression is correct because changing the place in the multiplication operation does not affect the final result.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,the equation is 1.8 x 3) x 2.1 = 3 x (1.8 x 2.1) t

L.H.S

=(1.8×3)×2.1

=5.4×2.1

=11.34

R.H.S.

=3 x (1.8 x 2.1)

=3×3.78

=11.34

L.H.S.=R.H.S.

Thus, the expression is correct because changing the place in the multiplication operation does not affect the final result.

Learn more about the equation here,

brainly.com/question/10413253

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(1.8×3)×2.1 = 3×(1.8×2.1)(5.4)×2.1 = 3×(3.78)5.4×2.1 = 3×3.7811.34 = 9.54False: Because 11.34 does not equal 9.54

Maria's family drove 140 miles to her grandparents' house and averaged 56 mi/h on the way there. On the return trip, they averaged 50 mi/ hr. What was the total time Maria's family spent driving to and from her grandparents' house? A. 2.5 h B. 2.6 h C. 5.2 h D. 5.3 h